Home / 1,456.31-2,175.60-932.12

Finding the Fourth Proportional to 1,456.31, 2,175.60 and 932.12

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Solution

The fourth proportional to 1,456.31, 2,175.60 and 932.12 is: 1,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.31 : 2,175.60 = 932.12 : x
  2. Step 2: Convert to fraction form
    1,456.31/2,175.60 = 932.12/x
  3. Step 3: Cross multiply
    1,456.31x = 2,175.60 × 932.12
  4. Step 4: Simplify right side
    1,456.31x = 2,027,920.27
  5. Step 5: Solve for x
    x = 2,027,920.27/1,456.31
  6. Step 6: Final answer
    x = 1,392.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.